Systems of Equations 3x3's - Cool math Algebra Help Lessons

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Coolmath Algebra
Systems of Equations 3x3's Lesson 1 - Introduction (page 3 of 3)
---- This algebra lesson gives a brief introduction to solving 3x3 systems of equations.

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After you're done solving a system, you'll be able to check your answers.

Check it out:

By magic, we know that

is the solution to the system

Let's check that!

x - y + z = 7 ... 1 - ( -2 ) + 4 = 7 ... 7 = 7 ...yep!

2x + 3y - z = -8 ... 2 ( 1 ) + 3 ( -2 ) - 4 = -8 ... -8 = -8 ... yep!

4x + y - 2z = -6 ... 4 ( 1 ) + ( -2 ) - 2 ( 4 ) = -6 ... -6 = -6 ... yep!

It's REALLY important to check all three equations. It's possible to make a mistake and have your answers work in one or two of them!

TRY IT:

Verify that (5, -1, 2) is the solution to

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